151286400 has 384 divisors, whose sum is σ = 591926400. Its totient is φ = 37601280.

The previous prime is 151286389. The next prime is 151286411. The reversal of 151286400 is 4682151.

151286400 is a `hidden beast` number, since 1 + 5 + 12 + 8 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (151286389) and next prime (151286411).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1468749 + ... + 1468851.

It is an arithmetic number, because the mean of its divisors is an integer number (1541475).

Almost surely, 2^151286400 is an apocalyptic number.

151286400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295963200).

151286400 is an abundant number, since it is smaller than the sum of its proper divisors (440640000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151286400 is a wasteful number, since it uses less digits than its factorization.

151286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 151286400 is about 12299.8536576660. The cubic root of 151286400 is about 532.8438564662.

It can be divided in two parts, 15128 and 6400, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 151286400 in words is "one hundred fifty-one million, two hundred eighty-six thousand, four hundred".